[etamponi]

Very interesting! One thing I don't understand is: doesn't this assume that they could do the calculations to get the coefficients... Using decimal notation? How could they for example know that 18/20 = 9/10? This is straightforward in decimal, but in their notation... Not really? So I am not super convinced this is the actual algorithm they used. Or am I missing something?

[pillmillipedes]

they did count in tens, as most civilizations did, though not exactly in "decimal". so 2345 would be either written out as MMCCCXXXXIIIII (but replace the letters with hieroglyphs), or sometimes spelled out phonetically. they had words for twenty, thirty and so on.

so obviously they can factor numbers and they know eighteen is 2*9 and twenty is 2*10 and that they can simplify when dividing 18 by 20, it's just that they don't consider 9/10 a finished result.

[etamponi]

I see! Thanks!